Berlin 2024 – scientific programme

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DY: Fachverband Dynamik und Statistische Physik

DY 31: Poster: Statistical Physics

DY 31.22: Poster

Wednesday, March 20, 2024, 15:00–18:00, Poster C

Cluster percolation in the 3D ± J random-bond Ising model — •Lambert Münster and Martin Weigel — Institut für Physik, TU Chemnitz, 09107 Chemnitz, Germany

Single-replica clusters are successful in describing phase ordering in systems without frustration [1]. For models with frustration such as spin glasses where the order parameter, the overlap, is defined with respect to two replicas, it is convenient to define clusters which include multiple replicas [2]. In this work we numerically study multiple replica clusters in the 3D ± J random-bond Ising model with the fraction of ferromagnetic bonds set to p=0.9 and p=0.5, respectively, to investigate how different types of clusters can be used to describe phase ordering when there exists a ferromagnetic phase and when the ordering is of spin-glass type.

[1] A. Coniglio and A. Fierro, Correlated percolation, in Complex Media and Percolation Theory, edited by M. Sahimi and A. G. Hunt (Springer, New York, 2021), p. 61.

[2] J. Machta, C. M. Newman, and D. L. Stein, J. Stat. Phys. 130, 113 (2008)

Keywords: spin glass; percolation; overlap; replicas